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Standard Model with spontaneously broken quantum scale invariance · Around

2016

Standard Model with spontaneously broken quantum scale invariance

Ghilencea, D. M., Lalak, Z., Olszewski, P.

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We explore the possibility that scale symmetry is a quantum symmetry that is broken only spontaneously and apply this idea to the Standard Model (SM).

We compute the quantum corrections to the potential of the higgs field ($\phi$) in the classically scale invariant version of the SM ($m_\phi=0$ at tree level) extended by the dilaton ($\sigma$).
The tree-level potential of $\phi$ and $\sigma$, dictated by scale invariance, may contain non-polynomial effective operators, e.g.
$\phi^6/\sigma^2$, $\phi^8/\sigma^4$, $\phi^{10}/\sigma^6$, etc.

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Then

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